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Finding the Fourth Proportional to 117,031.80, 175,590.90 and 112,711.80

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Solution

The fourth proportional to 117,031.80, 175,590.90 and 112,711.80 is: 169,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,031.80 : 175,590.90 = 112,711.80 : x
  2. Step 2: Convert to fraction form
    117,031.80/175,590.90 = 112,711.80/x
  3. Step 3: Cross multiply
    117,031.80x = 175,590.90 × 112,711.80
  4. Step 4: Simplify right side
    117,031.80x = 19,791,166,402.62
  5. Step 5: Solve for x
    x = 19,791,166,402.62/117,031.80
  6. Step 6: Final answer
    x = 169,109.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.